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This is a list of Games for Windows titles video games under Microsoft's Games for Windows label. With the closure of the Xbox.com PC marketplace in August 2013; [1] no games were developed for the platform past 2013. The clients software and the servers are still available. [1]
If R is commutative, the Jacobson radical always contains the nilradical. If the ring R is a finitely generated Z-algebra, then the nilradical is equal to the Jacobson radical, and more generally: the radical of any ideal I will always be equal to the intersection of all the maximal ideals of R that contain I. This says that R is a Jacobson ring.
The phrase "IBM PC compatible self-booting disk" is sometimes shortened to "PC booter". Self-booting disks were common for other computers as well. These games were distributed on 5 + 1 ⁄ 4 " or, later, 3 + 1 ⁄ 2 ", floppy disks that booted directly, meaning once they were inserted in the drive and the computer was turned on, a minimal ...
A characteristic similar to that of Jacobson radical and annihilation of simple modules is available for nilradical: nilpotent elements of a ring are precisely those that annihilate all integral domains internal to the ring (that is, of the form / for prime ideals ). This follows from the fact that nilradical is the intersection of all prime ...
A ring R is called a Jacobson ring if the nilradical and Jacobson radical of R/P coincide for all prime ideals P of R. An Artinian ring is Jacobson, and its nilradical is the maximal nilpotent ideal of the ring. In general, if the nilradical is finitely generated (e.g., the ring is Noetherian), then it is nilpotent.
These are video games that were developed by Radical Entertainment. Pages in category "Radical Entertainment games" The following 42 pages are in this category, out of 42 total.
Download as PDF; Printable version; In other projects Wikidata item; Appearance. move to sidebar hide. Nilradical may refer to: Nilradical of a ring ...
Evolution: The Game of Intelligent Life is a life simulation and real-time strategy computer game that allows players to experience, guide, and control evolution from an isometric view on either historical earth or on randomly generated worlds while racing against computer opponents to reach the top of the evolution chain, and gradually evolving the player's animals to reach the "grand goal of ...